What is the Least Common Multiple of 20328 and 20343?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 20328 and 20343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20328 and 20343, than apply into the LCM equation.

GCF(20328,20343) = 3
LCM(20328,20343) = ( 20328 × 20343) / 3
LCM(20328,20343) = 413532504 / 3
LCM(20328,20343) = 137844168

Least Common Multiple (LCM) of 20328 and 20343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20328 and 20343. First we will calculate the prime factors of 20328 and 20343.

Prime Factorization of 20328

Prime Factorization of 20343

Now multiplying the highest exponent prime factors to calculate the LCM of 20328 and 20343.

LCM(20328,20343) = 2³ × 3¹ × 7¹ × 11² × 6781¹
LCM(20328,20343) = 137844168